Just tell her that without being too in your face as such. Tell her that you hope she would consider being back with you, and you really would like the chance to proove it to her what the relationship could be if only she let you take control and show her what you can do. Aslong as you speak to her and really tell her what you feel then there isnt much more you can do, its all about saying the right things, if you say what she wants to hear (providing its the truth) then thats all she can ask for. Just dont make promises you cant keep to her.
The fact she said dont analyse too much, she obviously is saying, dont analyse too much into what she just said - even though she is analysing your relationship to start off with, if that makes sense?
To me, it seems as though she is saying dont worry, i know what im doing and its for the best. And that once in her head its sorted, then there maybe a possibility.